hyperbolic-tiling | creating tilings of the hyperbolic plane | Graphics library
kandi X-RAY | hyperbolic-tiling Summary
kandi X-RAY | hyperbolic-tiling Summary
First created in 2015 (last updated 2021), this is a prototype of an automatic hyperbolic art generator and educational tool. It creates a regular edge to edge tiling of the hyperbolic plane represented as a Poincaré disk, also known as a hyperbolic tesselation. These were originally described by H. S. M. Coxeter, but were made famous by M.C. Escher in his series of Circle Limit woodcuts, back in the era when people were known only by their initials and surnames. Currently it can create images similar to Escher’s Circle Limit I. These are regular two colored tilings, defined by the number of sides of the polygons, and the number of polygons that meet at each vertex. The tiling is created out out of two Euclidean triangular pieces, one representing half a white fish, the other half a black fish.
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QUESTION
I am interested in the Hyperbolic Tessellations such as those generated by @TilingBot. To narrow it down a bit more, I would like to be able to construct some of the Uniform Tilings on the Hyperbolic Plane, such as this:
The closest answer I have found comes from Math SE and recommends these 3 resources:
- Ajit Datar's master's thesis
- David Joyce's Hyperbolic Tessellations applet
- And David Joyce's corresponding Java source code.
Here I have translated the Java to JavaScript (and preserved the comments), as well as attempted to draw the center shape:
...ANSWER
Answered 2020-Sep-28 at 23:05I would recommend you do a stroke instead of fill, that way you see what that polygon is giving you.
Run the code below so you can see the difference...
Now, comparing that result with your image it looks nothing like what you want
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